GCD of 129, 225, 885, 823 Calculator

Given Input numbers are 129, 225, 885, 823

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 129, 225, 885, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 225, 885, 823 is 1.

Therefore, GCD of numbers 129, 225, 885, 823 is 1

Given Input Data is 129, 225, 885, 823

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 129 is 3 x 43

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 823 is 823

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(129, 225) = 9675

GCD(129, 225) = ( 129 x 225 ) / 9675

GCD(129, 225) = 29025 / 9675

GCD(129, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 885

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 885) = 885

GCD(3, 885) = ( 3 x 885 ) / 885

GCD(3, 885) = 2655 / 885

GCD(3, 885) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 823

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 823) = 2469

GCD(3, 823) = ( 3 x 823 ) / 2469

GCD(3, 823) = 2469 / 2469

GCD(3, 823) = 1

GCD of 129, 225, 885, 823 is 1

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1. What is the GCD of 129, 225, 885, 823?

GCD of 129, 225, 885, 823 is 1

2. Where do I get the detailed procedure to find GCD of 129, 225, 885, 823?

You can find a detailed procedure to find GCD of 129, 225, 885, 823 on our page.

3. How to find GCD of 129, 225, 885, 823 on a calculator?

You can find the GCD of 129, 225, 885, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.